Buchumschlag

On behaviour of integral functions represented by the Dirichlet series on the real axis

Conditions are found under which for an entire function $f$ represented by a Dirichlet series with finite Ritt order on some sequence $(x_k), 0&lt;x_k↑\infty$, as $k→\infty$ one has $| f (x_k) | = M_f((1+o(1)x_k),M_f(x)=sup\{|f(z)|:{\rm Re} \ z\leq x\}$.

Gespeichert in:

Bibliographische Detailangaben
Datum:	2025
Hauptverfasser:	Vinnitsky , В. V., Sorokivsky , V. M., Винницкий , Б. В., Сорокивский , В. М.
Format:	Artikel
Sprache:	Russisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2025
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/9367
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

On the growth of functions represented by Dirichlet series with complex coefficients on the real axis
von: Vynnyts’kyi, B. V., et al.
Veröffentlicht: (1997)

On the growth of analytic functions represented by the Dirichlet series on semistrips
von: Skaskiv, O. B., et al.
Veröffentlicht: (1993)

Convergence of Fourier series on the systems of rational functions on the real axis
von: S. O. Chaichenko
Veröffentlicht: (2015)

Approximation of the $\bar {\Psi}$ -integrals of functions defined on the real axis by Fourier operators
von: Sokolenko, I. V., et al.
Veröffentlicht: (2004)

Approximation by entire functions in the mean on the real axis
von: Stepanets , A. I., et al.
Veröffentlicht: (1991)

Approximation of $\bar {\omega}$ -integrals of continuous functions defined on the real axis by Fourier operators
von: Sokolenko, I. V., et al.
Veröffentlicht: (2004)

Approximation of the functions preset on the real axis by the Valle Pussen operators
von: Rukasov , V. I., et al.
Veröffentlicht: (1992)

On Subharmonic Functions of the First Order with Restrictions on the Real Axis
von: Poedintseva, I.V.
Veröffentlicht: (2008)

Approximation of functions defined on the real axis by operators generated by λ-methods of summation of their Fourier integrals
von: Zhyhallo, T. V., et al.
Veröffentlicht: (2004)

Approximation by the Fourier operators of the functions preset on a real axis
von: Stepanets , A. I., et al.
Veröffentlicht: (1988)

Approximation of continuous functions defined on the real axis by generalized Zygmund operators
von: Ostrovskaya, О. V., et al.
Veröffentlicht: (1999)

Minimum of the multiple Dirichlet series
von: Skaskiv , О. B., et al.
Veröffentlicht: (1992)

Best mean-square approximation of functions defined on the real axis by entire functions of exponential type
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2012)

Best Approximations for the Cauchy Kernel on the Real Axis
von: Savchuk, V. V., et al.
Veröffentlicht: (2014)

Inequalities for Nonperiodic Splines on the Real Axis and Their Derivatives
von: Kofanov, V. A., et al.
Veröffentlicht: (2014)

Boyanov–Naidenov problem and the Kolmogorov-type inequalities for functions on the real axis
von: Kofanov, V., et al.
Veröffentlicht: (2025)

Approximation of ( ψ, β )-differentiable functions defined on the real axis by Weierstrass operators
von: Kalchuk, I. V., et al.
Veröffentlicht: (2007)

Bernstein-type inequalities for splines defined on the real axis
von: Babenko, V. F., et al.
Veröffentlicht: (2011)

Comparison of Exact Constants in Inequalities for Derivatives of Functions Defined on the Real Axis and a Circle
von: Babenko, V. F., et al.
Veröffentlicht: (2003)

On the Mean Values of the Dirichlet Series
von: Zelisko, M. M., et al.
Veröffentlicht: (2004)

On the growth of an entire dirichlet series
von: Sheremeta, M. M., et al.
Veröffentlicht: (1999)

On convergence classes of Dirichlet series
von: Mulyava, O. M., et al.
Veröffentlicht: (1999)

Best Approximations for the Cauchy Kernel on the Real Axis
von: V. V. Savchuk, et al.
Veröffentlicht: (2014)

Paley Effect for Entire Dirichlet Series
von: Hlova, T. Ya., et al.
Veröffentlicht: (2015)

Inequalities for Nonperiodic Splines on the Real Axis and Their Derivatives
von: V. O. Kofanov
Veröffentlicht: (2014)

On the existence and uniqueness of solutions continuous and bounded on the real axis for nonlinear functional equations
von: Pelyukh, G. P., et al.
Veröffentlicht: (2000)

Approximation of functions satisfying the Lipschitz condition on a finite segment of the real axis by Poisson–Chebyshev&#039;s integrals
von: T. V. Zhigallo
Veröffentlicht: (2018)

Approximation of continuous functions given on the real axis by three-harmonic Poisson operators
von: U. Z. Hrabova, et al.
Veröffentlicht: (2023)

On bounded on the whole real axis solutions of nonlinear functional-difference equations and their properties
von: I. V. Betsko, et al.
Veröffentlicht: (2017)

Paley Effect for Entire Dirichlet Series
von: Ya. Hlova, et al.
Veröffentlicht: (2015)

Approximation of $(\psi, \beta)$-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
von: Zhyhallo, T. V., et al.
Veröffentlicht: (2005)

On divergence of series of exponents representing functions regular in convex polygons
von: Mel'nik, Yu. I., et al.
Veröffentlicht: (1994)

Solutions of systems of nonlinear functional-differential equations bounded in the entire real axis and their properties
von: Pelyukh, G. P., et al.
Veröffentlicht: (1994)

Natural boundary of random Dirichlet series
von: Ding, Xiaoqing, et al.
Veröffentlicht: (2006)

On the Binomial Asymptotics of an Entire Dirichlet Series
von: Sheremeta, M. M., et al.
Veröffentlicht: (2001)

On the Stability of the Maximum Term of the Entire Dirichlet Series
von: Skaskiv, O. B., et al.
Veröffentlicht: (2005)

Global analyticity of solutions of nonlinear functional differential equations representable by Dirichlet series
von: Murovtsev, A. N., et al.
Veröffentlicht: (2006)

Approximation by de la Vallée-Poussin operators on the classes of functions locally summable on the real axis
von: Rukasov, V. I., et al.
Veröffentlicht: (2010)

The behaviour of bi-three-dimensional polymers in the conditions of single-axis deformation
von: Ju. M. Sivergin, et al.
Veröffentlicht: (2012)

On solutions of differential equations in Banach space on the whole real axis
von: V. M. Horbachuk
Veröffentlicht: (2015)